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Finding the Fourth Proportional to 3,075.57, 4,612.29 and 883.87

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Solution

The fourth proportional to 3,075.57, 4,612.29 and 883.87 is: 1,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.57 : 4,612.29 = 883.87 : x
  2. Step 2: Convert to fraction form
    3,075.57/4,612.29 = 883.87/x
  3. Step 3: Cross multiply
    3,075.57x = 4,612.29 × 883.87
  4. Step 4: Simplify right side
    3,075.57x = 4,076,664.76
  5. Step 5: Solve for x
    x = 4,076,664.76/3,075.57
  6. Step 6: Final answer
    x = 1,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.